Question

Find the edge of the cube formed by melting a cuboid
I the cube formed by melting a cuboid of dimensions 16 cm x 24 cm x 36 cm.​

Answer 1

Answer:

24cm

Step-by-step explanation:

volume=16*24*36

=13824

=cube of length of edge of cube

so length of cube=(13824)^(1/3)

=24 cm

Answer 2

Given :

• Metallic cuboids measuring 36 cm x 24 cm x 16 cm is melted and formed into a cube.

To find :

• The side of the cube =?

Formula Used :

• Volume of cuboid = length x breadth x height.

• Volume of cube = side³

Step-by-step explanation :

As We know that,

Volume of cuboid = length x breadth x height

Substituting the values in the above formula, we get,

= 36 x 24 x 16

= 13,824.

Therefore, Volume of cuboid = 13,824 cm³.

Now,

According to the question,

Volume of cuboid = Volume of cube = side³

Substituting the values in the above formula, we get,

side³ = 13,824

side = ³√13,824

side = 24.

Therefore, Side of cube = 24 cm.